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Using Carleson measure theorem of weighted Bergman spaces, we provide a complete characterization of embedding theorem for Dirichlet type spaces. As an application, we study the Volterra integral operator and multipliers for Dirichlet type…

Complex Variables · Mathematics 2018-11-14 Junming Liu , Cheng Yuan , Songxiao Li

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

General Topology · Mathematics 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

Within Bishop Set Theory, a reconstruction of Bishop's theory of sets, we study the so-called completely separated sets, that is sets equipped with a positive notion of an inequality, induced by a given set of real-valued functions. We…

Logic · Mathematics 2022-08-17 Iosif Petrakis

It is shown that a large class of properties coincide for weighted composition operators on a large class of weighted VMOA spaces, including the ones with logarithmic weights and the ones with standard weights $(1-|z|)^{-c}, \ 0\leq c<…

Functional Analysis · Mathematics 2025-04-16 David Norrbo

We establish a fixed point theorem for mappings of square matrices of all sizes which respect the matrix sizes and direct sums of matrices. The conclusions are stronger if such a mapping also respects matrix similarities, i.e., is a…

Functional Analysis · Mathematics 2012-10-22 Gulnara Abduvalieva , Dmitry S. Kaliuzhnyi-Verbovetskyi

We show that weighted path orders are special instances of a variant of semantic path orders. Exploiting this fact, we introduce a generalization of weighted path orders that goes beyond the realm of simple termination. Experimental data…

Logic in Computer Science · Computer Science 2023-07-27 Teppei Saito , Nao Hirokawa

Applications of Strongly Convergent M-Estimators are discussed. Given the ubiquity of distributions across the sciences, multiple applications in the Physical, Biomedical and Social Sciences are elaborated. In one particular implementation…

Methodology · Statistics 2021-12-23 K. P. Chowdhury

We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be relaxed.

Functional Analysis · Mathematics 2023-02-16 Oleg Zubelevich

We present a simple set-theoretic proof of the Banach-Stone Theorem .We thus apply this Topological classification theorem to the still unsolved problem of topological classification of euclidean manifolds through two conjectures and…

General Mathematics · Mathematics 2012-07-04 Luiz C. L. Botelho

We discuss smooth metric measure spaces admitting two weighted Einstein representatives of the same weighted conformal class. First, we describe the local geometries of such manifolds in terms of certain Einstein and quasi-Einstein warped…

Differential Geometry · Mathematics 2025-04-11 Miguel Brozos-Vázquez , Eduardo García-Río , Diego Mojón-Álvarez

Several complementary approaches to investigate knotted solutions of Maxwell's equations in vacuum are now available in literature. However, only partial results towards a unified description of them have been achieved. This is potentially…

Mathematical Physics · Physics 2020-04-13 E. Goulart , J. E. Ottoni

This an expository article on Givental's axiomatic Gromov--Witten theory and some of its applications.

Algebraic Geometry · Mathematics 2008-09-11 Y. -P. Lee

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

Functional Analysis · Mathematics 2025-08-13 Elvin Rada

We prove the mean ergodic theorem of von Neumann in a Hilbert-Kaplansky space. We also prove a multiparameter, modulated, subsequential and a weighted mean ergodic theorems in a Hilbert-Kaplansky space

Functional Analysis · Mathematics 2012-08-29 Farruh Shahidi , Inomjon Ganiev

A general local center manifold theorem around stationary trajectories is proved for nonlinear cocycles acting on measurable fields of Banach spaces.

Probability · Mathematics 2024-08-12 Mazyar Ghani Varzaneh , Sebastian Riedel

We discuss Nakamaye's Theorem and its recent extension to compact complex manifolds, together with some applications.

Algebraic Geometry · Mathematics 2019-04-04 Valentino Tosatti

We give a sheaf-theoretic version of the universal coefficient theorem.

Commutative Algebra · Mathematics 2024-10-25 Bruno Kahn

Author developed a uniform model for different spaces where distance and angle measure kinds are parameters. This model is calculus centric, but can also be used in theoretical research. It is useful in the following domains: deduction of…

Metric Geometry · Mathematics 2018-07-30 Alexandru Popa

In this paper, we extend a fixed point theorem due to Ciric to a cone metric space.

General Topology · Mathematics 2010-05-19 Bessem Samet

This work explores new deep connections between John-Nirenberg type inequalities and Muckenhoupt weight invariance for a large class of $BMO$-type spaces. The results are formulated in a very general framework in which $BMO$ spaces are…

Functional Analysis · Mathematics 2017-07-06 Jarod Hart , Rodolfo H. Torres